Rational Quadratic Forms (9780486466705)

This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss' composition theory. The final chapter explains how to formulate the proofs in earlier chapters independently of Dirichlet's theorems related to the existence of primes in arithmetic progressions. Specialists will particularly value the several helpful appendixes on class numbers, Siegel's formulas, Tamagawa numbers, and other topics. Each chapter concludes with many exercises and hints, plus notes that include historical remarks and references to the literature.

Product details

• Format Paperback | 413 pages
• Dimensions 139 x 216 x 22mm | 445g
• Publication date 31 Oct 2008
• Publisher Dover Publications Inc.
• Publication City/Country New York, United States
• Language English
• Illustrations note Illustrations, unspecified
• ISBN10 0486466701
• ISBN13 9780486466705
• Bestsellers rank 82,770

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